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Finding the Fourth Proportional to 10,772.60, 16,156.19 and 7,643.48

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Solution

The fourth proportional to 10,772.60, 16,156.19 and 7,643.48 is: 11,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.60 : 16,156.19 = 7,643.48 : x
  2. Step 2: Convert to fraction form
    10,772.60/16,156.19 = 7,643.48/x
  3. Step 3: Cross multiply
    10,772.60x = 16,156.19 × 7,643.48
  4. Step 4: Simplify right side
    10,772.60x = 123,489,396.14
  5. Step 5: Solve for x
    x = 123,489,396.14/10,772.60
  6. Step 6: Final answer
    x = 11,463.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.